Least Common Multiple of 17/53, 206/51, 872/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/53, 206/51, 872/762 quickly i.e. 1526872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/53, 206/51, 872/762 is 1526872.

LCM(17/53, 206/51, 872/762) = 1526872

LCM of 17/53, 206/51, 872/762

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 17/53,206/51,872/762

Given numbers are 17/53,206/51,872/762

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 17,206,872

Least Common Multiple of Numerators i.e. LCM of 17,206,872 is 1526872.

GCF of Denominators means GCF of 53,51,762 as per the given fractions.

GCF of 53,51,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,206,872

LCM of Fractions 17/53,206/51,872/762 is 1526872

2 17, 206, 872
17, 103, 436

∴ So the LCM of the given numbers is 2 x 17 x 103 x 436 = 1526872

Least Common Multiple of 17,206,872 with GCF Formula

Least Common Multiple of 17,206,872 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 17,206,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,206,872) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(17,206,872) x common factors =1 x 2 = 2

LCM(17,206,872) = ( 17 × 206 × 872 ) / 2

LCM(17,206,872) = 3053744 / 2

LCM(17,206,872) = 1526872


Lets's calculate GCF of 53,51,762

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1526872/1

Therefore the LCM of Fractions 17/53,206/51,872/762 is 1526872

Greatest Common Factor of 53,51,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,51,762 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 53,51,762 . The biggest common factor number is the GCF number.
So the greatest common factor 53,51,762 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 17/53, 206/51, 872/762

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 17/53, 206/51, 872/762?

Answer: LCM of Numerators as per given numbers 17/53, 206/51, 872/762 is

LCM of Numerators i.e. for 17,206,872 is 1526872

GCF of denominators i.e. for 53,51,762 is 1.

Thus, LCM of Fractions is 1526872.Finally, LCM of Fractions for 17/53, 206/51, 872/762 is 1526872.